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Author ID: duverney.daniel Recent zbMATH articles by "Duverney, Daniel"
Published as: Duverney, Daniel; Duverney, D.
Documents Indexed: 43 Publications since 1993, including 2 Books
Reviewing Activity: 50 Reviews
Co-Authors: 7 Co-Authors with 17 Joint Publications
42 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 111 times in 82 Documents Cited by Year
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0902.11029
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
13
1997
Transcendence of a fast converging series of rational numbers. Zbl 0999.11037
Duverney, Daniel
13
2001
Transcendence of Jacobi’s theta series. Zbl 0884.11030
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
10
1996
An inductive method for proving the transcendence of certain series. Zbl 1049.11078
Duverney, Daniel; Nishioka, Kumiko
9
2003
Number theory. An elementary introduction through Diophantine problems. Zbl 1228.11001
Duverney, Daniel
7
2010
Transcendence of certain reciprocal sums of linear recurrences. Zbl 1012.11062
Duverney, Daniel; Kanoko, Tomoaki; Tanaka, Taka-aki
6
2002
On fast converging series of rational numbers. (Sur les séries de nombres rationnels à convergence rapide.) Zbl 0940.11027
Duverney, Daniel
5
1999
Padé approximants and \(U\)- derivation. (Approximants de Padé et \(U\)-dérivation.) Zbl 0810.05009
Duverney, Daniel
5
1994
Transcendence of Jacobi’s theta series and related results. Zbl 0938.11039
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
4
1998
On series involving Fibonacci and Lucas numbers. I. Zbl 1141.11009
Duverney, Daniel; Shiokawa, Iekata
4
2008
Irrationality of fast converging series of rational numbers. Zbl 1002.11060
Duverney, Daniel
3
2001
Concerning the series \(\sum_{n=1}^{+\infty} {x^ n\over q^ n-1}\). (A propos de la série \(\sum_{n=1}^{+\infty} {x^ n\over q^ n-1}\).) Zbl 0867.11054
Duverney, Daniel
3
1996
Irrationality exponents of numbers related with Cahen’s constant. Zbl 1436.11085
Duverney, Daniel; Shiokawa, Iekata
3
2020
On arithmetic properties of Tschakaloff’s function. (Sur les propriétés arithmétiques de la fonction de Tschakaloff.) Zbl 0923.11104
Duverney, Daniel
2
1997
Arithmetic properties of a series related to theta functions. (Propriétés arithmétiques d’une série liée aux fonctions thêta.) Zbl 0779.11028
Duverney, Daniel
2
1993
\(U\)-derivation. (\(U\)-dérivation.) Zbl 0803.12003
Duverney, Daniel
2
1993
Some arithmetical consequences of Jacobi’s triple product identity. Zbl 0889.11026
Duverney, Daniel
2
1997
Arithmetical functions and irrationality of Lambert series. Zbl 1302.11049
Duverney, Daniel
2
2011
Irrationality of the sum of inverses of the Fibonacci sequence. (Irrationalité de la somme des inverses de la suite de Fibonacci.) Zbl 0886.11041
Duverney, Daniel
2
1997
Arithmetic properties of solutions of certain Poincaré-type functional equations. (Propriétés arithmétiques des solutions de certaines équations fonctionnelles de Poincaré.) Zbl 0870.11046
Duverney, Daniel
2
1996
Irrationality of a \(q\)-analogue of \(\zeta(2)\). (Irrationalité d’un \(q\)-analogue de \(\zeta(2)\).) Zbl 0843.11034
Duverney, Daniel
2
1995
A criterion of irrationality. Zbl 0854.11037
Duverney, Daniel
2
1996
Transcendence of numbers related with Cahen’s constant. Zbl 1448.11139
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata
2
2019
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0946.11510
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1
1998
Explicit computation of Padé-Hermite approximants. Zbl 0863.41009
Duverney, Daniel
1
1997
Sums of two squares and irrationality of values of theta functions. (Sommes de deux carrés et irrationalité de valeurs de fonctions thêta.) Zbl 0836.11024
Duverney, Daniel
1
1995
On the irrationality of \(\sum_{n=1}^{+\infty} r^ n / (q^ n - r)\). (Sur l’irrationalité de \(\sum_{n=1}^{+\infty} r^ n / (q^ n - r)\).) Zbl 0852.11035
Duverney, Daniel
1
1995
Arithmetic properties of an infinite product related to theta functions. (Propriétés arithmétiques d’un produit infini lié aux fonctions thêta.) Zbl 0853.11056
Duverney, Daniel
1
1996
Irrationality exponents of generalized Hone series. Zbl 1452.11088
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata
1
2020
Irrationality exponents of numbers related with Cahen’s constant. Zbl 1436.11085
Duverney, Daniel; Shiokawa, Iekata
3
2020
Irrationality exponents of generalized Hone series. Zbl 1452.11088
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata
1
2020
Transcendence of numbers related with Cahen’s constant. Zbl 1448.11139
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata
2
2019
Arithmetical functions and irrationality of Lambert series. Zbl 1302.11049
Duverney, Daniel
2
2011
Number theory. An elementary introduction through Diophantine problems. Zbl 1228.11001
Duverney, Daniel
7
2010
On series involving Fibonacci and Lucas numbers. I. Zbl 1141.11009
Duverney, Daniel; Shiokawa, Iekata
4
2008
An inductive method for proving the transcendence of certain series. Zbl 1049.11078
Duverney, Daniel; Nishioka, Kumiko
9
2003
Transcendence of certain reciprocal sums of linear recurrences. Zbl 1012.11062
Duverney, Daniel; Kanoko, Tomoaki; Tanaka, Taka-aki
6
2002
Transcendence of a fast converging series of rational numbers. Zbl 0999.11037
Duverney, Daniel
13
2001
Irrationality of fast converging series of rational numbers. Zbl 1002.11060
Duverney, Daniel
3
2001
On fast converging series of rational numbers. (Sur les séries de nombres rationnels à convergence rapide.) Zbl 0940.11027
Duverney, Daniel
5
1999
Transcendence of Jacobi’s theta series and related results. Zbl 0938.11039
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
4
1998
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0946.11510
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1
1998
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0902.11029
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
13
1997
On arithmetic properties of Tschakaloff’s function. (Sur les propriétés arithmétiques de la fonction de Tschakaloff.) Zbl 0923.11104
Duverney, Daniel
2
1997
Some arithmetical consequences of Jacobi’s triple product identity. Zbl 0889.11026
Duverney, Daniel
2
1997
Irrationality of the sum of inverses of the Fibonacci sequence. (Irrationalité de la somme des inverses de la suite de Fibonacci.) Zbl 0886.11041
Duverney, Daniel
2
1997
Explicit computation of Padé-Hermite approximants. Zbl 0863.41009
Duverney, Daniel
1
1997
Transcendence of Jacobi’s theta series. Zbl 0884.11030
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
10
1996
Concerning the series \(\sum_{n=1}^{+\infty} {x^ n\over q^ n-1}\). (A propos de la série \(\sum_{n=1}^{+\infty} {x^ n\over q^ n-1}\).) Zbl 0867.11054
Duverney, Daniel
3
1996
Arithmetic properties of solutions of certain Poincaré-type functional equations. (Propriétés arithmétiques des solutions de certaines équations fonctionnelles de Poincaré.) Zbl 0870.11046
Duverney, Daniel
2
1996
A criterion of irrationality. Zbl 0854.11037
Duverney, Daniel
2
1996
Arithmetic properties of an infinite product related to theta functions. (Propriétés arithmétiques d’un produit infini lié aux fonctions thêta.) Zbl 0853.11056
Duverney, Daniel
1
1996
Irrationality of a \(q\)-analogue of \(\zeta(2)\). (Irrationalité d’un \(q\)-analogue de \(\zeta(2)\).) Zbl 0843.11034
Duverney, Daniel
2
1995
Sums of two squares and irrationality of values of theta functions. (Sommes de deux carrés et irrationalité de valeurs de fonctions thêta.) Zbl 0836.11024
Duverney, Daniel
1
1995
On the irrationality of \(\sum_{n=1}^{+\infty} r^ n / (q^ n - r)\). (Sur l’irrationalité de \(\sum_{n=1}^{+\infty} r^ n / (q^ n - r)\).) Zbl 0852.11035
Duverney, Daniel
1
1995
Padé approximants and \(U\)- derivation. (Approximants de Padé et \(U\)-dérivation.) Zbl 0810.05009
Duverney, Daniel
5
1994
Arithmetic properties of a series related to theta functions. (Propriétés arithmétiques d’une série liée aux fonctions thêta.) Zbl 0779.11028
Duverney, Daniel
2
1993
\(U\)-derivation. (\(U\)-dérivation.) Zbl 0803.12003
Duverney, Daniel
2
1993
all top 5

Cited in 43 Serials

12 Journal of Number Theory
6 Monatshefte für Mathematik
6 The Ramanujan Journal
5 Journal de Théorie des Nombres de Bordeaux
3 Proceedings of the Japan Academy. Series A
2 Bulletin of the Australian Mathematical Society
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Results in Mathematics
2 Forum Mathematicum
2 Indagationes Mathematicae. New Series
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Journal of the Australian Mathematical Society
1 Archive for History of Exact Sciences
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Acta Arithmetica
1 Glasgow Mathematical Journal
1 Journal of Approximation Theory
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Mathematica Slovaca
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matematico della Università di Padova
1 Transactions of the American Mathematical Society
1 Tsukuba Journal of Mathematics
1 Acta Mathematica Hungarica
1 Applied Numerical Mathematics
1 Journal of Symbolic Computation
1 Journal of Mathematical Sciences (New York)
1 Journal of Inequalities and Applications
1 Journal of Integer Sequences
1 Dynamical Systems
1 Mediterranean Journal of Mathematics
1 Journal of Statistical Mechanics: Theory and Experiment
1 International Journal of Number Theory
1 Moscow Journal of Combinatorics and Number Theory
1 Research in Number Theory

Citations by Year